activity
20022019
most citedDiffusion-controlled annihilation with initially separated reactants: The death of an particle island in the particle sea

16 citations · 48 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.stat-mech2019★ 2 cited

Diffusion-controlled coalescence, fragmentation and collapse of -dimensional -particle islands in the -particle sea

Boris M. Shipilevsky

We present a systematic analysis of diffusion-controlled evolution and collapse of two identical spatially separated -dimensional -particle islands in the -particle sea at…

cond-mat.stat-mech2019★ 7 cited

Diffusion-controlled formation and collapse of a d-dimensional A-particle island in the B-particle sea

Boris M. Shipilevsky

We consider diffusion-controlled evolution of a -dimensional -particle island in the -particle sea at propagation of the sharp reaction front at equal species d…

cond-mat.stat-mech2007★ 12 cited

Diffusion-controlled death of -particle and -particle islands at propagation of the sharp annihilation front

Boris M. Shipilevsky

We consider the problem of diffusion-controlled evolution of the system -particle island - -particle island at propagation of the sharp annihilation front . We show…

cond-mat.stat-mech2003★ 11 cited

Diffusion-controlled annihilation : The growth of an particle island from a localized -source in the particle sea

Boris M. Shipilevsky

We present the growth dynamics of an island of particles injected from a localized -source into the sea of particles and dying in the course of diffusion-controlled anni…

cond-mat.stat-mech2003★ 16 cited

Diffusion-controlled annihilation with initially separated reactants: The death of an particle island in the particle sea

Boris M. Shipilevsky

We consider the diffusion-controlled annihilation dynamics with equal species diffusivities in the system where an island of particles is surrounded by the uniform s…

cond-mat.stat-mech2002

Annihilation catastrophe: New critical phenomenon in diffusion-controlled dynamics

Boris M. Shipilevsky

The aim of this report is to give an insight into the key features of the phenomenon called Annihilation Catastrophe which may pretend to be one of the most dramatic manifestations…